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Finding the Third Proportional to 34,284,619 and 73,218,941

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Solution

The third proportional to 34,284,619 and 73,218,941 is: 156,367,883.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,284,619 : 73,218,941 = 73,218,941 : x
  2. Step 2: Convert to fraction form
    34,284,619/73,218,941 = 73,218,941/x
  3. Step 3: Cross multiply
    34,284,619x = 73,218,941 × 73,218,941
  4. Step 4: Simplify right side
    34,284,619x = 5,361,013,321,161,481
  5. Step 5: Solve for x
    x = 5,361,013,321,161,481/34,284,619
  6. Step 6: Final answer
    x = 156,367,883.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.